On the completion of the mapping class group of genus two

JOURNAL OF ALGEBRA

卷:501

Article

Watanabe, Tatsunari¹ 

[1] Purdue Univ, Dept Math, W Lafayette, IN 47907 USA

关键词: Moduli space of curves;    Moduli space of principally polarized abelian varieties;    Mapping class groups;    Unipotent completion;    Hodge Lie algebra;    Presentation of nilpotent Lie algebras;    Classical modular forms;    Special values of L-functions;   

DOI  :  10.1016/j.jalgebra.2018.01.003

来源: Elsevier

【 摘 要 】

In this paper, we will study the Lie algebra of the prounipotent radical of the relative completion of the mapping class group of genus two. In particular, we will partially determine a minimal presentation of the Lie algebra by determining the generators and bounding the degree of the relations of it. (C) 2018 Elsevier Inc. All rights reserved.

【 授权许可】

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